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Shifted moments of the Riemann zeta function

Published 7 Jun 2022 in math.NT | (2206.03350v1)

Abstract: In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concerning sharp upper bounds for the $2k$-th moments of the Riemann zeta function on the critical line.

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